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GCD of 695, 880, 760, 675 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 695, 880, 760, 675 quickly. Get the easiest ways to solve the greatest common divisor of 695, 880, 760, 675 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 695, 880, 760, 675 with Factoring?

Given Input numbers are 695, 880, 760, 675

In the factoring method, we have to find the divisors of all numbers

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (695, 880, 760, 675) = 5.

Find GCD of 695, 880, 760, 675 using Prime Factorization

Given numbers are 695, 880, 760, 675

The list of prime factors of all numbers are

Prime factors of 695 are 5 x 139

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 51

Therefore, GCD of 695, 880, 760, 675 is 5.

Steps to Calculate GCD of 695, 880, 760, 675 using LCM Formula

Given numbers are 695, 880, 760, 675

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(695, 880) = 122320

GCD(695, 880) = ( 695 x 880 ) / 122320

= 695 / 880

= 695


Step2:

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

= 5 / 760

= 5


Step3:

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

= 5 / 675

= 5


So, Greatest Common Divisor of 695, 880, 760, 675 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 695, 880, 760, 675

Given numbers are 695, 880, 760, 675
The greatest common divisor of numbers 695, 880, 760, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 880, 760, 675 is 5.

FAQs on GCD of 695, 880, 760, 675 Calculator

1. What is the GCD of 695, 880, 760, 675?

GCD of given numbers 695, 880, 760, 675 is 5


2. How to calculate the greatest common divisor of 695, 880, 760, 675?

We can find the highest common divisor of 695, 880, 760, 675 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 695, 880, 760, 675 i.e 5.


3. How can I use the GCD of 695, 880, 760, 675Calculator?

Out the numbers 695, 880, 760, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.